Answer:
slope=2
Step-by-step explanation:
subrtract -4-(-4) the two negatives make it a + so that becomes 8 and thats for the top one the bottom is 6-2 which is 4 then divide 8 by 4 to find the slope which is 2.
 
        
             
        
        
        
Answer:
(i) ∠ABH  = 14.5°
(ii) The length of AH = 4.6 m
Step-by-step explanation:
To solve the problem, we will follow the steps below;
(i)Finding  ∠ABH
first lets find <HBC
<BHC + <HBC + <BCH  = 180°  (Sum of interior angle in a polygon)
46° + <HBC  + 90 = 180°
  <HBC+ 136°  = 180°
subtract 136 from both-side of the equation
  <HBC+ 136° - 136°  = 180° -136°
  <HBC  = 44°
lets find <ABC
To do that, we need to first find <BAC
Using the sine rule
 =
 =  
A = ?
a=6.9
C=90
c=13.2
 =
 = 
sin A = 6.9 sin 90  /13.2
sinA = 0.522727
A = sin⁻¹ ( 0.522727)
A ≈ 31.5 °
<BAC  = 31.5°
<BAC + <ABC + <BCA = 180° (sum of interior angle of a triangle)
31.5° +<ABC + 90° = 180°
<ABC  + 121.5°  = 180°
subtract 121.5° from both-side of the equation
<ABC  + 121.5° - 121.5°  = 180° - 121.5°
<ABC = 58.5°
<ABH = <ABC - <HBC
            =58.5° - 44° 
             =14.5°
∠ABH = 14.5°
(ii) Finding the length of AH
To find length AH, we need to first find ∠AHB
<AHB + <BHC = 180°  ( angle on a straight line)
<AHB + 46° = 180°
subtract 46° from both-side of the equation
<AHB + 46°- 46° = 180° - 46°
<AHB  = 134°
Using sine rule,
 =
  = 
AH = 13.2 sin 14.5 / sin 134
AH≈4.6 m
length AH = 4.6 m
 
        
             
        
        
        
7x+3+5x²
ax²+bx+c
5x²+7x+3
Hoped this helped!
        
             
        
        
        
Answer:
8*2^(n-1)
Step-by-step explanation:
This is a geometric sequence since we multiply from the previous term.
a_n = a_1 * common ratio^(n-1) where a_n is the nth number and a_1 is the first.
The first term is 8, so we have
a_n = 8*<common ratio>^(n-1) = 8*2^(n-1)